Question 1164085
If Venn diagrams are drawn,
16 are government only
of the 18 that are government and college, 10 are just those two; the other 8 are all three (center of the diagram)
of the 23 that are government and private, 15 are just those two; the other eight are all 3. 
16+10+15+8=49

Private is 55.
12 are only, 15 and 8 are shared with government and all three, and 20 more shared with college. 
of the 28 that are private and college, 20 are just those two, for again, the other 8 are all three.

College is 43
5 are college alone, 8 are all 3, 20 shared with private alone and 10 shared with government alone.

The sum of the seven different containers ,A, B, C, AB, AC, BC, and ABC, is 86.

Therefore, the answer to e, those who don't receive any from these sources, is 100-86 or 14.

a. is 16
b. is 32 private alone + private/college
c.from only one of these sources is 16+12+5=33
d. from exactly two sources is 10+15+20=45
f.this is how many are private alone, and that is 12.